Monomials, binomials and Riemann-Roch

DOI10.1007/s10801-012-0386-9zbMath1272.13017arXiv1201.4357OpenAlexW1997872836MaRDI QIDQ2376291

Madhusudan Manjunath, Bernd Sturmfels

Publication date: 21 June 2013

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.4357

zbMATH Keywords

Alexander dualityRiemann-Roch theoremRiemann-Roch theory for graphs

Mathematics Subject Classification ID

Graph polynomials (05C31) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)

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Divisors on graphs, binomial and monomial ideals, and cellular resolutions ⋮ Tutte short exact sequences of graphs ⋮ Minimal free resolutions of lattice ideals of digraphs ⋮ Certain variants of multipermutohedron ideals ⋮ Fourientations and the Tutte polynomial ⋮ Generalized Riemann functions, their weights, and the complete graph ⋮ Explicit deformation of lattice ideals via chip-firing games on directed graphs ⋮ Asymmetric tropical distances and power diagrams ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Another proof of Wilmes' conjecture ⋮ The Laplacian lattice of a graph under a simplicial distance function ⋮ Laplacian ideals, arrangements, and resolutions ⋮ Sandpiles and dominos ⋮ Minimal free resolutions of the 𝐺-parking function ideal and the toppling ideal

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